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\(\text{a) -3000 : 2 + 5(2x-1) = 125}\\ -1500+5\left(2x-1\right)=125\\ 5\left(2x-1\right)=125-\left(-1500\right)\\ 5\left(2x-1\right)=1625\\ 2x-1=1625:5\\ 2x-1=325\\ 2x=325+1\\ 2x=326\\ x=326:2\\ x=163\)
a) Ta có: \(4^{2x-6}=1\)
\(\Rightarrow2x-6=1\)
\(\Rightarrow2x=6+1=7\)
\(\Rightarrow x=\frac{7}{2}\)
b) Ta có:\(2^{x-1}=16=2^4\)
\(\Rightarrow x-1=4\)
\(\Rightarrow x=5\)
c) Ta có: \(5^{x+1}=125=5^3\)
\(\Rightarrow x+1=3\)
\(\Rightarrow x=2\)
d) Ta có: \(5^{2x-3}-2.5^2=5^2.3\)
\(\Rightarrow5^{2x-3}=5^2.3+2.5^2\)
\(\Rightarrow5^{2x-3}=5^2.\left(3+2\right)=5^2.5=5^3\)
\(\Rightarrow2x-3=3\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
42x-6 = 1
=> 42x-6 = 40
=> 2x - 6 = 0
=> 2x = 6
=> x = 3
5x+1 = 125
=> 5x+1 = 53
=> x + 1 = 3
=> x = 2
52x-3 - 2.52 = 52.3
=> 52x-3 = 52.3 + 2.52
=> 52x-3 = 52( 3 + 2 )
=> 52x-3 = 52.5
=> 52x-3 = 53
=> 2x - 3 = 3
=> 2x = 6
=> x = 3
mk chi lam duoc cau c thoi
suy ra 2x-1=5 hoac 2x-1=-5
2x=6 2x=-4
x=3 x=-2
vay x=3 hoac x=-2
a. 3/4.x+1/3=-1/2
=>3/4.x=-1/2-1/3=-5/6
=>x=-5/6 chia 3/4=-10/9
b. -x/4=-9/x =>-x*x=4*-9
=>-2x=-36 =>x=18
c./2x-1/=5
=> 2x-1=5 =>2x=5+1=6 =>x=3
hoặc 2x-1=-5 =>2x=-5+1=-4 =>x=-2
d,e: Sai đề rồi
3^2x = 81
=> 3^2x = 3^4
=> 2x = 4
=> x = 2
5^x-3 - 2. 5^2 = 5^2. 3
=> 5^x-3 - 2 = 3
=> 5^x-3 = 5
=> x - 3 = 1
=> x = 4
13/ => 10 + 2x = 42 = 16
=> 2x = 6
=> x = 3
14/ => 52x : 53 - 50 = 75
=> 52x : 53 = 125 = 53
=> 52x = 56
=> 2x = 6
=> x = 3
15/ => (26 - 3x) : 5 = 4
=> 26 - 3x = 20
=> 3x = 6
=> x = 2
16/ => x - 17 = -25
=> x = -8
A, \(4^{2x-6}=1\)
\(\Rightarrow4^{2x-6}=4^0\)
\(\Rightarrow2x-6=0\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
B, \(5^{2x-3}-2.5^2=5^2.3\)
\(\Rightarrow5^{2x-3}=5^2.3+2.5^2\)
\(\Rightarrow5^{2x-3}=5^2.\left(3+2\right)\)
\(\Rightarrow5^{2x-3}=5^2.5\)
\(\Rightarrow5^{2x-3}=5^3\)
\(\Rightarrow2x-3=3\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)